Martin Schechter

Articles in Scholarly Journals [Incomplete List]

  1. Semilinear problems in unbounded domains
    Journal of Mathematical Analysis and Applications, vol. 327, no. 2, pp. 1143–1154, 2007
  2. The Use of Cerami Sequences in Critical Point Theory
    Abstract and Applied Analysis, vol. 2007, Article ID 58948, 28 pages, 2007
  3. Periodic solutions of second-order nonautonomous dynamical systems
    Boundary Value Problems, vol. 2006, Article ID 25104, 9 pages, 2006
  4. Finding linking sets
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 24623, 13 pages, 2006
  5. Proceedings of the American Mathematical Society, vol. 134, no. 02, pp. 403–411, 2006
  6. Sign-changing critical points from linking type theorems
    Transactions of the American Mathematical Society, vol. 358, no. 12, pp. 5293–5319, 2006
  7. Periodic non-autonomous second-order dynamical systems
    Journal of Differential Equations, vol. 223, no. 2, pp. 290–302, 2006
  8. Infinitely many solutions to perturbed elliptic equations
    Journal of Functional Analysis, vol. 228, no. 1, pp. 1–38, 2005
  9. Saddle point techniques
    Nonlinear Analysis, vol. 63, no. 5-7, pp. 699–711, 2005
  10. Semilinear problems with bounded nonlinear term
    Boundary Value Problems, vol. 2005, no. 1, pp. 1–8, 2005
  11. New Linking Theorem and Sign-Changing Solutions
    Communications in Partial Differential Equations, vol. 29, no. 3&4, pp. 471–488, 2004
  12. An infinite-dimensional linking theorem and applications
    Journal of Differential Equations, vol. 201, no. 2, pp. 324–350, 2004
  13. Double linking theorem and multiple solutions
    Journal of Functional Analysis, vol. 205, no. 1, pp. 37–61, 2003
  14. Computation of critical groups in Fucík resonance problems
    Journal of Mathematical Analysis and Applications, vol. 279, no. 1, pp. 317–325, 2003
  15. Weak linking
    Nonlinear Analysis, vol. 55, no. 6, pp. 695–706, 2003
  16. On Functionals Bounded Below
    Functional Analysis and Its Applications, vol. 37, no. 2, pp. 142–146, 2003
  17. Homoclinic orbits for Schr�dinger systems
    The Michigan Mathematical Journal, vol. 51, no. 1, pp. 59–72, 2003
  18. Double resonance problems with respect to the Fucik spectrum
    Indiana University Mathematics Journal, vol. 52, no. 1, pp. 1–18, 2003
  19. Critical Groups in Saddle Point Theorems without a Finite Dimensional Closed Loop
    Mathematische Nachrichten, vol. 243, no. 1, pp. 156–164, 2002
  20. Mathematische Nachrichten, vol. 246-247, no. 1, pp. 156–169, 2002
  21. Applications of Morse theory to the solution of semilinear problems depending on C1 functionals
    Nonlinear Analysis, vol. 45, no. 1, pp. 1–9, 2001
  22. Periodic solutions of semilinear higher dimensional wave equations
    Chaos, Solitons & Fractals, vol. 12, no. 6, pp. 1029–1034, 2001
  23. Proceedings of the American Mathematical Society, vol. 129, no. 08, pp. 2301–2309, 2001
  24. Solution of nonlinear equations having asymptotic limits at zero and infinity
    Calculus of Variations and Partial Differential Equations, vol. 12, no. 4, pp. 359–369, 2001
  25. A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities
    Nonlinear Differential Equations and Applications, vol. 7, no. 4, pp. 361–367, 2000
  26. Nontrivial solutions of elliptic semilinear equations¶at resonance
    manuscripta mathematica, vol. 101, no. 3, pp. 301–311, 2000
  27. Transactions of the American Mathematical Society, vol. 352, no. 09, pp. 4195–4206, 2000
  28. Semilinear elliptic equations having asymptotic limits at zero and infinity
    Abstract and Applied Analysis, vol. 4, no. 4, pp. 231–242, 1999
  29. Infinite-dimensional linking
    Duke Mathematical Journal, vol. 94, no. 3, pp. 573–595, 1998
  30. Rotationally invariant periodic solutions of semilinear wave equations
    Abstract and Applied Analysis, vol. 3, no. 1-2, pp. 171–180, 1998
  31. Morse index estimates in saddle point theorems without a finite dimensional closed loop
    Indiana University Mathematics Journal, vol. 47, no. 3, pp. 0–0, 1998
  32. Critical point theory with weak-to-weak linking
    Communications on Pure and Applied Mathematics, vol. 51, no. 11-12, pp. 1247–1254, 1998
  33. Critical point theory with weak-to-weak linking
    Communications on Pure and Applied Mathematics, vol. 51, no. 1112, pp. 1247–1254, 1998
  34. Resonance Problems Which Intersect Many Eigenvalues
    Mathematische Nachrichten, vol. 183, no. 1, pp. 201–210, 1997
  35. The schrodinger operator with vector potential
    Communications in Partial Differential Equations, vol. 2, no. 5, pp. 549–561, 1997
  36. Type (II) regions between curves of the Fucik spectrum
    NoDEA : Nonlinear Differential Equations and Applications, vol. 4, no. 4, pp. 459–476, 1997
  37. Superlinear elliptic boundary value problems
    Manuscripta Mathematica, vol. 86, no. 1, pp. 253–265, 1995
  38. Bounded resonance problems for semilinear elliptic equations
    Nonlinear Analysis, vol. 24, no. 10, pp. 1471–1482, 1995
  39. The Saddle Point Alternative
    American Journal of Mathematics, vol. 117, no. 6, p. 1603, 1995
  40. Indiana University Mathematics Journal, vol. 43, no. 4, Article ID 43050, 1994
  41. Landesman-Lazer resonance problems and saddle point methods
    Mathematical Methods in the Applied Sciences, vol. 17, no. 4, pp. 229–238, 1994
  42. Asymptotically linear elliptic boundary value problems
    Monatshefte f�r Mathematik, vol. 117, no. 1-2, pp. 121–137, 1994
  43. Elliptic resonance problems with unequal limits at infinity
    Mathematische Annalen, vol. 300, no. 1, pp. 629–642, 1994
  44. Splitting subspaces and saddle points
    Applicable Analysis, vol. 49, no. 1, pp. 33–48, 1993
  45. A Bounded Mountain Pass Lemma Without the (PS) Condition and Applications
    Transactions of the American Mathematical Society, vol. 331, no. 2, p. 681, 1992
  46. The mountain pass alternative
    Advances in Applied Mathematics, vol. 12, no. 1, pp. 91–105, 1991
  47. Unrestricted variables in linear programming
    Journal of Optimization Theory and Applications, vol. 69, no. 3, pp. 605–610, 1991
  48. Eigenvalues for semilinear boundary value problems
    Archive for Rational Mechanics and Analysis, vol. 113, no. 3, pp. 197–208, 1991
  49. Nonlinear elliptic boundary value problems at resonance
    Nonlinear Analysis, vol. 14, no. 10, pp. 889–903, 1990
  50. Nonlinear Elliptic Boundary Value Problems at Strong Resonance
    American Journal of Mathematics, vol. 112, no. 3, p. 439, 1990
  51. Indiana University Mathematics Journal, vol. 39, no. 4, Article ID 39050, 1990
  52. The Spectrum of the Schrodinger Operator
    Transactions of the American Mathematical Society, vol. 312, no. 1, p. 115, 1989
  53. Weighted Norm Inequalities for Potential Operators
    Transactions of the American Mathematical Society, vol. 308, no. 1, p. 57, 1988
  54. SIAM Journal on Mathematical Analysis, vol. 19, no. 6, Article ID 0519096, 1988
  55. Polyhedral functions and multiparametric linear programming
    Journal of Optimization Theory and Applications, vol. 53, no. 2, pp. 269–280, 1987
  56. Weighted Norm Estimates for Sobolev Spaces
    Transactions of the American Mathematical Society, vol. 304, no. 2, p. 669, 1987
  57. Derivatives of Mappings With Applications to Nonlinear Differential Equations
    Transactions of the American Mathematical Society, vol. 293, no. 1, p. 53, 1986
  58. Self-Adjoint Realizations in Another Hilbert Space
    American Journal of Mathematics, vol. 106, no. 1, p. 43, 1984
  59. Differentiation in abstract spaces
    Journal of Differential Equations, vol. 55, no. 3, pp. 330–345, 1984
  60. Unique continuation for Schrodinger operators with unbounded potentials1
    Journal of Mathematical Analysis and Applications, vol. 77, no. 2, pp. 482–492, 1980
  61. Rigorous Results on the Existence of Dyon Solutions
    Physical Review Letters, vol. 44, no. 20, pp. 1303–1305, 1980
  62. Wave operators for pairs of spaces and the Klein-Gordon equation
    Aequationes Mathematicae, vol. 20, no. 1, pp. 38–50, 1980
  63. The invariance principle
    Commentarii Mathematici Helvetici, vol. 54, no. 1, pp. 111–125, 1979
  64. Two space scattering theory using the subspace of continuity
    Letters in Mathematical Physics, vol. 3, no. 6, pp. 521–531, 1979
  65. Another look at scattering theory
    International Journal of Theoretical Physics, vol. 17, no. 1, pp. 33–41, 1978
  66. A duality theorem for a homogeneous fractional programming problem
    Journal of Optimization Theory and Applications, vol. 25, no. 3, pp. 349–359, 1978
  67. Solution of the Nonlinear Problem Au = N(u) in a Banach Space
    Transactions of the American Mathematical Society, vol. 241, p. 69, 1978
  68. Sufficient conditions for duality in homogeneous programming
    Journal of Optimization Theory and Applications, vol. 23, no. 3, pp. 389–400, 1977
  69. Wave operators for oscillating potentials
    Letters in Mathematical Physics, vol. 2, no. 2, pp. 127–132, 1977
  70. Eigenfunction expansions for the Schrödinger operator
    Arkiv för matematik, vol. 14, no. 1, pp. 277–287, 1976
  71. Cut-off potentials and forms extensions
    Letters in Mathematical Physics, vol. 1, no. 4, pp. 265–273, 1976
  72. Remarks on a previous paper
    Journal of Mathematical Analysis and Applications, vol. 54, no. 1, pp. 138–141, 1976
  73. Scattering theory for second order elliptic operators
    Annali di Matematica Pura ed Applicata, Series 4, vol. 105, no. 1, pp. 313–331, 1975
  74. Scattering theory for elliptic operators of arbitrary order
    Commentarii Mathematici Helvetici, vol. 49, no. 1, pp. 84–113, 1974
  75. On the existence, uniqueness and regularity of solutions to general elliptic boundary-value problems*1
    Journal of Differential Equations, vol. 15, no. 2, pp. 213–246, 1974
  76. A Generalized Operational Calculus Developed from Fredholm Operator Theory
    Transactions of the American Mathematical Society, vol. 175, p. 439, 1973
  77. Embedding Theorems and Quasi-Linear Elliptic Boundary Value Problems for Unbounded Domains
    Transactions of the American Mathematical Society, vol. 172, p. 261, 1972
  78. Indiana University Mathematics Journal, vol. 21, no. 11, Article ID 21085, 1972
  79. Indiana University Mathematics Journal, vol. 22, no. 5, Article ID 22042, 1972
  80. On the essential spectrum of an arbitrary operator. I*1
    Journal of Mathematical Analysis and Applications, vol. 13, no. 2, pp. 205–215, 1966
  81. Spectral theory for operators generated by elliptic boundary problems with eigenvalue parameter in boundary conditions, I
    Communications on Pure and Applied Mathematics, vol. 18, no. 1-2, pp. 83–105, 1965
  82. Spectral theory for operators generated by elliptic boundary problems with eigenvalue parameter in boundary conditions, II
    Communications on Pure and Applied Mathematics, vol. 18, no. 3, pp. 397–414, 1965
  83. Systems of partial differential equations in a half-space
    Communications on Pure and Applied Mathematics, vol. 17, no. 4, pp. 423–434, 1964
  84. Spectral theory for Fredholm operators
    Communications on Pure and Applied Mathematics, vol. 16, no. 4, pp. 423–448, 1963
  85. Coerciveness in L p
    Transactions of the American Mathematical Society, vol. 107, no. 1, p. 10, 1963
  86. On L p Estimates and Regularity, I
    American Journal of Mathematics, vol. 85, no. 1, p. 1, 1963
  87. Observations concerning a paper of peetre
    Communications on Pure and Applied Mathematics, vol. 14, no. 4, pp. 733–736, 1961
  88. Mixed boundary problems for general elliptic equations
    Communications on Pure and Applied Mathematics, vol. 13, no. 2, pp. 183–201, 1960
  89. On the dirichlet problem for second order elliptic equations with coefficients singular at the boundary
    Communications on Pure and Applied Mathematics, vol. 13, no. 2, pp. 321–328, 1960
  90. Various types of boundary conditions for elliptic equations
    Communications on Pure and Applied Mathematics, vol. 13, no. 3, pp. 407–425, 1960
  91. Negative Norms and Boundary Problems
    The Annals of Mathematics, vol. 72, no. 3, p. 581, 1960
  92. A Free Boundary Problem for Pseudo-Analytic Functions
    Proceedings of the American Mathematical Society, vol. 10, no. 6, p. 881, 1959
  93. Integral inequalities for partial differential operators and functions satisfying general boundary conditions
    Communications on Pure and Applied Mathematics, vol. 12, no. 1, pp. 37–66, 1959
  94. Solution of the dirichlet problem for systems not necessarily strongly elliptic
    Communications on Pure and Applied Mathematics, vol. 12, no. 2, pp. 241–247, 1959
  95. General boundary value problems for elliptic partial differential equations
    Communications on Pure and Applied Mathematics, vol. 12, no. 3, pp. 457–486, 1959
  96. Remarks on elliptic boundary value problems
    Communications on Pure and Applied Mathematics, vol. 12, no. 4, pp. 561–578, 1959
  97. Coerciveness of linear partial differential operators for functions satisfying zero dirichlet-type boundary data
    Communications on Pure and Applied Mathematics, vol. 11, no. 2, pp. 153–174, 1958
  98. On Estimating Elliptic Partial Differential Operators in the L 2 Norm
    American Journal of Mathematics, vol. 79, no. 2, p. 431, 1957